Question

The Product of LCM and HCF of two numbers is 2500. The ratio of two numbers is 4 : 1. What is the difference of the two numbers?
1. 125
2. 50
3. 84
4. 75

Answer 1

Correct Answer - Option 4 : 75

Given:

LCM × HCF = 2500

The ratio of two numbers is 4 : 1

Concept used:

LCM × HCF = product of two numbers

Calculation:

Let the numbers is 4x and x

By formula,

2500 = 4x × x

⇒ 2500 = 4x²

⇒ x² = 625

⇒ x = 25

The difference of the two numbers = 4x - x = 3x

∴ Difference is 3 × 25 is 75.